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Summer Maths Puzzles - Friday 30 August - Finitely Infinite or Infinitely Finite?

Finitely Infinite or Infinitely Finite?

On this final day of our month of puzzles we ask you simply for the name of the shape that has finite volume but infinite surface area, and a description of how it is formed.

 

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons